A description of a space of holomorphic discrete series by means of the Fourier transform on the Šilov boundary (Q1823430)
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scientific article; zbMATH DE number 4115307
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A description of a space of holomorphic discrete series by means of the Fourier transform on the Šilov boundary |
scientific article; zbMATH DE number 4115307 |
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A description of a space of holomorphic discrete series by means of the Fourier transform on the Šilov boundary (English)
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1989
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Realizing holomorphic discrete series representations on Hilbert spaces H(A) of vector valued holomorphic functions on a Siegel domain of type II, the author establishes a Paley-Wiener type theorem for H(A) analogous to the classical one for Hardy space on the upper half plane.
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holomorphic discrete series representations on Hilbert spaces of
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vector valued holomorphic functions on a Siegel domain of type II
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Paley-Wiener type theorem
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